126636048001 has 2 divisors, whose sum is σ = 126636048002. Its totient is φ = 126636048000.

The previous prime is 126636047999. The next prime is 126636048061. The reversal of 126636048001 is 100840636621.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113517781776 + 13118266225 = 336924^2 + 114535^2 .

It is a cyclic number.

It is not a de Polignac number, because 126636048001 - 2¹ = 126636047999 is a prime.

Together with 126636047999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (126636048061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63318024000 + 63318024001.

It is an arithmetic number, because the mean of its divisors is an integer number (63318024001).

Almost surely, 2^126636048001 is an apocalyptic number.

It is an amenable number.

126636048001 is a deficient number, since it is larger than the sum of its proper divisors (1).

126636048001 is an equidigital number, since it uses as much as digits as its factorization.

126636048001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 126636048001 in words is "one hundred twenty-six billion, six hundred thirty-six million, forty-eight thousand, one".